Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456g |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-6.8711006568975E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 11+ 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-369561665,2737533428289] |
[a1,a2,a3,a4,a6] |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
1.7897474414599 |
L(r)(E,1)/r! |
Ω |
0.074572810060878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27456cj1 858k1 82368ce1 |
Quadratic twists by: -4 8 -3 |